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Finding the Fourth Proportional to 536.85, 806.27 and 321.75

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Solution

The fourth proportional to 536.85, 806.27 and 321.75 is: 483.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.85 : 806.27 = 321.75 : x
  2. Step 2: Convert to fraction form
    536.85/806.27 = 321.75/x
  3. Step 3: Cross multiply
    536.85x = 806.27 × 321.75
  4. Step 4: Simplify right side
    536.85x = 259,415.76
  5. Step 5: Solve for x
    x = 259,415.76/536.85
  6. Step 6: Final answer
    x = 483.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.